Hi! Need a help with my homework. I also included a pictures of my solution, bot not sure, how am I suppose to continue. Could you please help me? And also add more explanation please, so I can better understand the topic.Given subspaces: V3 (R)L1=<[1, 0, -1], [1, 2, 3]>L2=<[1, 0, 1], [2, -1, 0]>Find the base of space L1 ∩ L2Thank you, and have a nice day :) Vz (R)C,こく(7,0,-)(,,)しzこく(70,1), (U-1,0))し,cle(7,0,-1) =r.(?,0,l+s(2,-2,0)1こr.1+A.2O=F.u+ A.(-7)-7-r.1+ノ0レ-トレー>1f -7+20=74-71ニト+2イO = -Aニ>A-。ー>へニ-7-7こト(7,2,3)ト.(1,,)+a (L,-7)1-ト+2っ->1t 3+2.-2)tn+3-4 -フ2-ーの->ノニー23-t+os っ>r=3%3Dしっ4 Le r+A=0aト=P ;A=-P(1,0,)-ト(7,4-)a nei3)1-ト4』->74-140○-1。コ=>A=01ェート+30-フ-+0=>へモー?=> L, 7 LzしっnレzしっtしeLと?F.(7,0,-7)+1. (7, ?3)= 10,0,0)21こ02 103いめ-0y4.(-)=0.. AND ALSOFUR L2き

Given: L1=1,0,-1,1,2,3, L2=1,0,1,2,-1,0 Let L1=a1,0,-1+b1,2,3, L2=c1,0,1+d2,-1,0, a,b,c,d∈ℝ For…

Answered: Given subspaces: V3 (R) L1=<[1, 0,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Hi! Need a help with my homework. I also included a pictures of my solution, bot not sure, how am I suppose to continue. Could you please help me? And also add more explanation please, so I can better understand the topic.

Given subspaces: V₃ (R)

L₁=<[1, 0, -1], [1, 2, 3]>
L₂=<[1, 0, 1], [2, -1, 0]>

Find the base of space L₁ ∩ L₂

Thank you, and have a nice day :)

Vz (R)
C,こく(7,0,-)(,,)
しzこく(70,1), (U-1,0))
し,cle
(7,0,-1) =r.(?,0,l+s(2,-2,0)
1こr.1+A.2
O=F.u+ A.(-7)
-7-r.1+ノ0
レ-トレ
ー>1f -7+20=74-7
1ニト+2イ
O = -A
ニ>A-。
ー>へニ-7
-7こト
(7,2,3)ト.(1,,)+a (L,-7)
1-ト+2っ->1t 3+2.-2)tn+3-4 -フ
2-ーの
->ノニー2
3-t+os っ>r=3
%3D
しっ4 Le

r+A=0aト=P ;A=-P
(1,0,)-ト(7,4-)a nei3)
1-ト4』
->74-140
○-1。コ=>A=0
1ェート+30-フ-+0=>へモー?
=> L, 7 Lz
しっnレz
しっtしe
Lと?
F.(7,0,-7)+1. (7, ?3)= 10,0,0)
21こ0
2 10
3
いめ-0y4.(-)=0
.. AND ALSO
FUR L2
き

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